670575744 has 192 divisors, whose sum is σ = 2070071640. Its totient is φ = 207618048.

The previous prime is 670575733. The next prime is 670575791. The reversal of 670575744 is 447575076.

670575744 is a `hidden beast` number, since 6 + 7 + 0 + 575 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 605160000 + 65415744 = 24600^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 670575744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899472 + ... + 1899824.

Almost surely, 2^670575744 is an apocalyptic number.

670575744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670575744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035035820).

670575744 is an abundant number, since it is smaller than the sum of its proper divisors (1399495896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

670575744 is a wasteful number, since it uses less digits than its factorization.

670575744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 670575744 is about 25895.4772885151. The cubic root of 670575744 is about 875.2845850913.

The spelling of 670575744 in words is "six hundred seventy million, five hundred seventy-five thousand, seven hundred forty-four".